Solve 1/2+13/4+13/8=

$$\frac { 1 } { 2 } + 1 \frac { 3 } { 4 } + 1 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{29}{8}=3.625$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{1}{2}+\frac{4+3}{4}+\frac{1\times 8+3}{8}$$

Add 4 and 3 to get 7.

$$\frac{1}{2}+\frac{7}{4}+\frac{1\times 8+3}{8}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{7}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{7}{4}+\frac{1\times 8+3}{8}$$

Since \frac{2}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{4}+\frac{1\times 8+3}{8}$$

Add 2 and 7 to get 9.

$$\frac{9}{4}+\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{9}{4}+\frac{8+3}{8}$$

Add 8 and 3 to get 11.

$$\frac{9}{4}+\frac{11}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{9}{4} and \frac{11}{8} to fractions with denominator 8.

$$\frac{18}{8}+\frac{11}{8}$$

Since \frac{18}{8} and \frac{11}{8} have the same denominator, add them by adding their numerators.

$$\frac{18+11}{8}$$

Add 18 and 11 to get 29.

$$\frac{29}{8}$$

Factor

$$\frac{29}{2 ^ {3}} = 3\frac{5}{8} = 3.625$$